Reflectionless wave propagation on shallow water with variable bathymetry and current

DOI10.1017/JFM.2021.935OpenAlexW3216029826MaRDI QIDQ5013176

S. M. Churilov, Yury A. Stepanyants

Publication date: 29 November 2021

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.12549

zbMATH Keywords

global solutionlinear approximationbounded solutionsurface gravity wavecoastal zone flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (1)

Reflectionless wave propagation on shallow water with variable bathymetry and current. Part 2

Cites Work

• Unnamed Item
• Unnamed Item
• On transforms reducing one-dimensional systems of shallow-water to the wave equation with sound speed \(c^2=x\)
• Non-dispersive traveling waves in inclined shallow water channels
• Exact solutions of one-dimensional nonlinear shallow water equations over even and sloping bottoms
• Homogenization of the variable-speed wave equation
• Asymptotic solutions of the linear shallow-water equations with localized initial data
• On wave propagation in inhomogeneous elastic media
• On Mapping Linear Partial Differential Equations to Constant Coefficient Equations
• Localized solutions of one-dimensional non-linear shallow-water equations with velocity $ c=\sqrt x$
• Nonlinear wave dynamics in self-consistent water channels
• A Method for Obtaining Exact Solutions to Partial Differential Equations with Variable Coefficients
• General solutions of some linear equations with variable coefficients
• Interfacial long traveling waves in a two‐layer fluid with variable depth

This page was built for publication: Reflectionless wave propagation on shallow water with variable bathymetry and current